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Jason Miller, communications director of Mr Trump's transition team, said earlier there was "some sensitivity" to moving the boy out of his New York school in the middle of a school year.

"The campaign has been difficult for Barron, and [Mrs Trump] is really hoping to keep disruption to a minimum," an unidentified person "close to Trump's transition team" told the New York Post in an article published online on Sunday.

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So far, the President-elect, who often likes to respond directly to news reports via social media, has remained silent on Twitter.

Mrs Trump has made no secret of her devotion to Barron, the youngest of the five Trump children.

Donald Trump hugs his son Barron as wife Melania watches during the final day of the Republican National Convention in July. Photo: AP

She told People magazine last September that her primary role was not as a campaigner nor a political figure but as a mother, echoing a sentiment expressed by the self-described "mom in chief" Michelle Obama when her husband was first elected president.

"My husband is travelling all the time," she said. "Barron needs somebody as a parent, so I am with him all the time."

Donald Trump with his wife, Melania, and their son, Barron, pose for a photo after he was given a star on the Hollywood Walk of Fame in Los Angeles in 2007. Photo: AP

According to the New York Post article, she did not want to disturb Barron's schedule by pulling him out of his Manhattan private school in the middle of the academic year, but it is possible the mother and son would relocate to 1600 Pennsylvania Avenue in future.

A rare figure on the campaign trail, Mrs Trump still remains a mystery to most. We know she thinks her husband has a "good heart" and is a "great negotiator", that she plans to take on cyber bullying as first lady and that the white jumpsuit she wore during her husband's presidential victory speech was designed by Ralph Lauren. But not much else.

The White House in Washington, where Donald Trump will sleep alone. Photo: AP

Trump Tower has served as Mr Trump's campaign headquarters since the start of his run for the White House, but it is expected that most political operations will move to Washington once he takes office on January 20.

In New York, his wife and Barron will have around-the-clock Secret Service protection in the same way that they would have had at the White House.

Trump Tower, a 58-storey New York skyscraper that is home to President-elect Donald Trump and his family. Photo: AP

Mrs Trump's decision to live about 370 kilometres from the White House would be unprecedented.

Nearly every first lady has taken up residence at 1600 Pennsylvania Avenue.

According to the White House Historical Association, George Washington and wife Martha did not live in the White House because it hadn't been built at the time of Washington's presidency.

Also, first lady Anna Harrison, whose husband, William Harrison, was the ninth president of the United States, never moved into the executive mansion because her husband died one month after his swearing-in.